Search a number
-
+
434053404 = 22351921237
BaseRepresentation
bin11001110111110…
…010000100011100
31010020202012100000
4121313302010130
51342104202104
6111023134300
713520251551
oct3167620434
91106665300
10434053404
11203014824
12101444390
136bc05545
144190aa28
152818d639
hex19df211c

434053404 has 108 divisors (see below), whose sum is σ = 1201835544. Its totient is φ = 136958688.

The previous prime is 434053387. The next prime is 434053409. The reversal of 434053404 is 404350434.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434053409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 350274 + ... + 351510.

Almost surely, 2434053404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434053404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600917772).

434053404 is an abundant number, since it is smaller than the sum of its proper divisors (767782140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434053404 is a wasteful number, since it uses less digits than its factorization.

434053404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 434053404 is about 20833.9483535887. The cubic root of 434053404 is about 757.1484811530.

The spelling of 434053404 in words is "four hundred thirty-four million, fifty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 361 486 513 684 722 972 1026 1083 1237 1444 1539 2052 2166 2474 3078 3249 3711 4332 4617 4948 6156 6498 7422 9234 9747 11133 12996 14844 18468 19494 22266 23503 29241 33399 38988 44532 47006 58482 66798 70509 87723 94012 100197 116964 133596 141018 175446 200394 211527 282036 300591 350892 400788 423054 446557 601182 634581 846108 893114 1202364 1269162 1339671 1786228 1903743 2538324 2679342 3807486 4019013 5358684 5711229 7614972 8038026 11422458 12057039 16076052 22844916 24114078 36171117 48228156 72342234 108513351 144684468 217026702 434053404